Coercivity (B c) was determined by a second-degree polynomial interpolation.
We used the differences in response rate to calculate benchmark doses based on the relative displacement from modeled zero-dose performance of the effective dose at 1% (ED 01)) and 10% (ED 10)), as determined by a second-order polynomial fit to the dose-effect function.
The R package ccems currently solves 2-reactant problems where total reactant concentrations are known and manipulated, free reactant concentrations are determined by a system of mass action-based total concentration constraint polynomials, expected measurements are determined by model predicted complex concentrations, and the number of models is large due to combinatorial complexity.
This leads to the definition of a surface that is represented by a simple polynomial equation that contains six coefficients that are determined by a simple regression calculation.
The normalizing constant is the A-hypergeometric polynomial, which is a solution of a system of linear differential equations of multiple variables determined by a matrix A, called A-hypergeometric system.
With this new condition, we show that a solution can be determined by an efficient procedure, i.e., polynomial in the number of state variables.
The MCMC dynamics is based on a recently proposed computational interpolation scheme, where the velocity profile for each vertical section is first determined by applying polynomial regression, and then a continuous approximation for the velocity across the entire vertical section is obtained through interpolation.
Theorem 4.8 shows that the positivity of the Hankel operator with kernel (1.2) defined by a polynomial P ( x ) is determined by another polynomial Q ( x ) defined by formula (3.4).
Fig. 3 shows the linearity of the assay as determined by polynomial regression with an allowable non-linear tolerance of <10%.
The stability of the fixed point (α s, γ s) against spatio-temporal perturbations of the form δα (x, t) = α0 exp (ikx + λ t) and δγ x, t) = γ0 exp (ikx + λ t) is determined by the characteristic polynomial (15) λ 2 + a 1 (k ) λ + a 0 (k ) = 0 where λ(k) characterizes the temporal evolution of a spatial growth mode with wave vector k.
